8004020 has 48 divisors (see below), whose sum is σ = 17696448. Its totient is φ = 3037440.

The previous prime is 8004013. The next prime is 8004047. The reversal of 8004020 is 204008.

It is a junction number, because it is equal to n+sod(n) for n = 8003986 and 8004004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35147 + ... + 35373.

It is an arithmetic number, because the mean of its divisors is an integer number (368676).

Almost surely, 2^8004020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8004020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8848224).

8004020 is an abundant number, since it is smaller than the sum of its proper divisors (9692428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8004020 is a wasteful number, since it uses less digits than its factorization.

8004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 8004020 is about 2829.1376778093. The cubic root of 8004020 is about 200.0334943903.

Adding to 8004020 its reverse (204008), we get a palindrome (8208028).

The spelling of 8004020 in words is "eight million, four thousand, twenty".